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Simplifying -5n + 15 + -8n + 7 = n + -69 Reorder the terms: 15 + 7 + -5n + -8n = n + -69 Combine like terms: 15 + 7 = 22 22 + -5n + -8n = n + -69 Combine like terms: -5n + -8n = -13n 22 + -13n = n + -69 Reorder the terms: 22 + -13n = -69 + n Solving 22 + -13n = -69 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 22 + -13n + -1n = -69 + n + -1n Combine like terms: -13n + -1n = -14n 22 + -14n = -69 + n + -1n Combine like terms: n + -1n = 0 22 + -14n = -69 + 0 22 + -14n = -69 Add '-22' to each side of the equation. 22 + -22 + -14n = -69 + -22 Combine like terms: 22 + -22 = 0 0 + -14n = -69 + -22 -14n = -69 + -22 Combine like terms: -69 + -22 = -91 -14n = -91 Divide each side by '-14'. n = 6.5 Simplifying n = 6.5
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